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Finding the Third Proportional to 183,881,288 and 390,177,880

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Solution

The third proportional to 183,881,288 and 390,177,880 is: 827,918,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,881,288 : 390,177,880 = 390,177,880 : x
  2. Step 2: Convert to fraction form
    183,881,288/390,177,880 = 390,177,880/x
  3. Step 3: Cross multiply
    183,881,288x = 390,177,880 × 390,177,880
  4. Step 4: Simplify right side
    183,881,288x = 152,238,778,041,294,400
  5. Step 5: Solve for x
    x = 152,238,778,041,294,400/183,881,288
  6. Step 6: Final answer
    x = 827,918,814.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.